Question

Graph the ellipse with equation x squared divided by 36 plus y squared divided by 49 equals 1.

Answer 1

Check the picture below.

Answer 2

Explanation:

We are asked to graph the equation of an ellipse given by
`(x^2)/(36)+(y^2)/(49)=1`.

We know that standard from of an ellipse
`(x^2)/(a^2)+(y^2)/(b^1)=1`, when
`a>b`, then the ellipse will be horizontal and when
`a<b`, then the ellipse will be vertical.

We can rewrite our given ellipse as:
`(x^2)/(6^2)+(y^2)/(7^2)=1`.

Upon looking at our given ellipse we can see that the horizontal radius is less than vertical radius, so our ellipse will be a vertical ellipse. The center of our ellipse is at origin (0,0).

Upon graphing our ellipse, we will our required graph as: